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Finding the Fourth Proportional to 16,407.50, 24,613 and 4,561.24

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Solution

The fourth proportional to 16,407.50, 24,613 and 4,561.24 is: 6,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.50 : 24,613 = 4,561.24 : x
  2. Step 2: Convert to fraction form
    16,407.50/24,613 = 4,561.24/x
  3. Step 3: Cross multiply
    16,407.50x = 24,613 × 4,561.24
  4. Step 4: Simplify right side
    16,407.50x = 112,265,800.12
  5. Step 5: Solve for x
    x = 112,265,800.12/16,407.50
  6. Step 6: Final answer
    x = 6,842.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.